Q3. Alejandra and Kyle both simplifi... [FREE SOLUTION]

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Chapter 5: Q3. (page 226)

Alejandra and Kyle both simplified $\frac{2 a^{2} b}{{(鈭� 2 a b^{3})}^{鈭� 2}}$ . Who is correct? Explain your reasoning.

Short Answer

Expert verified

Alejandra is correct.

Step by step solution

Step 1. Write down the given information.

The given expression is $\frac{2 a^{2} b}{{(鈭� 2 a b^{3})}^{鈭� 2}}$ which is solved by both Alejandra and Kyle.

Step 2. Explanation.

The given expression $\frac{2 a^{2} b}{{(鈭� 2 a b^{3})}^{鈭� 2}}$ is solved correctly by Alejandra and Kyle is not correct, because in first step Kyle wrote $\frac{2 a^{2} b}{{(鈭� 2 a b^{3})}^{鈭� 2}} = \frac{2 a^{2} b}{{(鈭� 2)}^{鈭� 2} a {(b^{3})}^{鈭� 2}}$ instead of $\frac{2 a^{2} b}{{(鈭� 2 a b^{3})}^{鈭� 2}} = \frac{2 a^{2} b}{{(鈭� 2)}^{鈭� 2} {(a)}^{鈭� 2} {(b^{3})}^{鈭� 2}}$ . Therefore, Kyle is incorrect because there should be ${(a)}^{鈭� 2}$ in place of $(a)$ by using the concept of exponents of power property.

Hence, Alejandra is correct.

Step 3. Conclusion.

Alejandra is correct.

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91影视

Alejandra and Kyle both simplified $\frac{2 a^{2} b}{{(鈭� 2 a b^{3})}^{鈭� 2}}$ . Who is correct? Explain your reasoning.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Explanation.

Step 3. Conclusion.

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91影视

Alejandra and Kyle both simplified2a2b(鈭�2ab3)鈭�2. Who is correct? Explain your reasoning.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Explanation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Alejandra and Kyle both simplified $\frac{2 a^{2} b}{{(鈭� 2 a b^{3})}^{鈭� 2}}$ . Who is correct? Explain your reasoning.